Abstract
Recently, due to the advances in many application areas such as computer animation, motion image processing, and so forth, it has become increasingly apparent that the study of four-dimensional pattern processing is of crucial importance. Thus, we think that research into four-dimensional automata as a computational model of four-dimensional pattern processing is also meaningful. This article introduces four-dimensional multicounter automata, and investigates some of their properties. We show the differences between the accepting powers of seven-way and eight-way four-dimensional multicounter automata, and between the accepting powers of deterministic and nondeterministic seven-way four-dimensional multicounter automata.
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